Optimal output feedback control of Timed Event Graphs including disturbances in a resource sharing environment

Timed event graphs (TEGs) constitute a subclass of timed Petri nets that model synchronization and delay phenomena, but not conflict or choice. In suitable mathematical framework (idempotent semirings such as the min-plus algebra), temporal evolution TEGs can be described by set linear equations. Recently, method has been proposed for optimal feedforward control systems share one more resources based on prespecified priority policy. this paper, we propose feedback solution to deal with disturbances in systems, which is possible under current approaches.